Learn about the concept of Two Trains Passing in Opposite Direction completely by referring to the entire article. Know How to Calculate Speed **Time and Distance** when Two Trains Run in Opposite Direction. Refer to the Formulas and Solved Examples on Two Trains Passes in Opposite Direction and get a good grip on it. Detailed Solutions provided for each and every problem makes it easy for you to understand the entire concept.

## How to find Relative Speed while Two Trains Running in Opposite Direction?

When Two Trains Passes through a Moving Object having a certain length in the Opposite Direction

Let us assume the Length of the faster train is l meters and the length of the slower train is m meters

Speed of faster train = x km/hr

Speed of slower train = y km/hr

Relative Speed = (x+y) km/hr

Time taken by faster train to cross the slower train = (l+m) m/(x+y) km/hr

Using this Simple Formula you can calculate the measures easily when they run on parallel tracks in the opposite direction.

### Solved Problems on Two Trains Running on Parallel Tracks in the Opposite Direction

1. Two trains of length 130 m and 100 m respectively are running at the speed of 52 km/hr and 40 km/hr on parallel tracks in opposite directions. In what time will they cross each other?

Solution:

Speed of faster train = 52 km/hr

Speed of slower train = 40 km/hr

Relative Speed of Trains = (52 km/hr – 40 km/hr)

= 12 km/hr

= 12*5/18

= 3.33 m/sec

Length of first train = 130 m

Length of Second Train = 100 m

Time taken by the two trains to cross each other = sum of the length of trains/relative speed of trains

= (130+100) m/12 km/hr

= 230 m/3.33 m/sec

= 69.06 sec

Therefore, Two Trains Crosses each other in 69.06 sec

2. Two trains 170 m and 145 m long are running on parallel tracks in the opposite directions with a speed of 50 km/hr and 40 km/hr. How long will it take to cross each other?

Solution:

Speed of faster train = 50 km/hr

Speed of slower train = 40 km/hr

Relative Speed of Trains = (50 km/hr +40 km/hr)

= 110 km/hr

= 110*5/18

= 30.5 m/sec

Length of first train = 170 m

Length of second train = 145 m

Time taken by two trains to cross each other = Sum of Length of Trains/Relative Speed of Trains

= (170+145) m/30.5 m/sec

= 315 m/30.5 m/sec

= 10.3 sec

3. Two trains travel in opposite directions at 50 km/hr and 30 km/hr respectively. A man sitting in the slower train passes the faster train in 12 s. The length of the faster train is?

Solution:

Speed of faster train = 50 km/hr

Speed of second train = 30 km/hr

Time taken to cross each other = 12 sec

Relative Speed of Trains = (50 Km/hr +30 Km/hr)

= 80 km/hr

Relative Speed of Trains in m/sec = 80*5/18

= 22.22 m/sec

Length of faster train = 22.22 m/sec * 12 sec

= 266.6 m

Therefore, the length of the faster train is 266.6 m